A carnival tent is set up using a 32-foot pole as the center. The Support wires each have an angle of elevation of 38 degrees from the ground to the top of the pole. Approximately how many feet of wire is needed for one support for the tent?
The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of marketing. in how many ways can these two positions be filled
The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is 240 ways. Computed using permutations.
The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.
If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:
nPr = n!{(n - r)!}.
In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.
Since the position is to be chosen in a specific order, we will follow permutation.
The number of positions to be chosen (r) = 2.
The number of members (n) = 16.
Thus, the number of ways is given as:
nPr = n!{(n - r)!},
or, 16P2 = 16!{(16 - 2)!},
or, 16P2 = 16!/14! = 15*16 = 240.
Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is 240 ways. Computed using permutations.
Learn more about permutations at
https://brainly.com/question/4658834
#SPJ4
If a card is drawn from a deck and a coin is tossed, what is the probability the card will be a heart and the coin will be tails?
No idea
Sorryyyyy
I dont know
La edad de juan es un año menos que la tercera parte de la edad de la madre. si dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan. Hallar la edad de cada uno
Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
Variable x: Edad de Juan.Variable y: Edad de su madre.La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:
[tex]x = \frac{y}{3} - 1[/tex]
Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:
[tex]y + 5 = 2(x + 5) + 10[/tex]
[tex]y + 5 = 2x + 20[/tex]
Como [tex]x = \frac{y}{3} - 1[/tex]:
[tex]y + 5 = \frac{2y}{3} + 18[/tex]
3y + 15 = 2y + 54
y = 39
[tex]x = \frac{y}{3} - 1 = \frac{39}{3} - 1 = 13 - 1 = 12[/tex]
Juan tiene 12 años e su madre tiene 39 años.
Puede-se aprender más a cerca de sistema de ecuaciones en https://brainly.com/question/20178040
#SPJ1
Eliza drew scale drawing of her bedroom. The drawing shows a room that is 4“ x 3“. The scale she used is 1 inch: 4 inch. What is the area of her actual bedroom?
Area of Eliza's bedroom = 192 sq. inch
What is Scaling ?Scaling is a method used in measurement when large data has to be shown in a small area.
It is given that
The drawing shows a room that is 4“ x 3“
The scale used is 1 inch: 4 inch
So the actual dimensions will be 16'' x 12"
The area of a rectangle is Length * Breadth
Area of her bedroom = 16 * 12
Area of her bedroom = 192 sq. inch
To know more about Scaling
https://brainly.com/question/1287267
#SPJ1
You have to fill a can of gasoline with a capacity of 12 liters.
The gas pump indicates that gasoline is selling for $1.15/litre.
Which equation allows you to calculate the cost of gasoline C according to the quantity of gasoline in liters n ?
Please choose an answer.
C = 1,15n + 12
C= -1,15n + 12
C = 0,12n - 1,15
C = 1,15n
Answer:
C=0,12N-1,15
Step-by-step explanation:
(1+sinA+cosA)^2 = 2(1+sinA) (1+cosA)
Answer:
Step-by-step explanation:
[tex]L.H.S = 1^2+Sin^2A+Cos^2A+2SinA+2CosA+2SinACosA\\ \{(a+b+c)^2 = a^2+b^2+c^2+2ab+2bc+2ca\}\\ = 1 + (Sin^2A+Cos^2A) + 2SinA+2CosA+2SinACosA \\ \{Sin^2A+Cos^2A=1\}\\ = 1 + 1 + 2SinA+2CosA+2SinACosA \\ = 2(1 + SinA+CosA+SinACosA)\\ = 2(1^2 + (SinA+CosA).1+ SinACosA )\\ \{x^2+(a+b)x + ab = (x+a)(x+b)\} \quad here \quad x=1\\ = 2(1+SinA)(1+CosA).\\[/tex]
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table below
The value should be placed in the second column for the range 11 - 15 will be 4. Then the correct option is C.
What is a frequency table?The data is given below.
3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Arrange the data in ascending order, then we have
2, 3, 3, 6, 12, 12, 13, 15, 17, 17, 18, 19, 20, 21, 25.
Then the frequency table will be
Range Number of values
1 - 5 3
6 - 10 1
11 - 15 4
16 - 20 5
21 - 25 2
The value should be placed in the second column for the range 11 - 15 will be 4.
Then the correct option is C.
The complete question is attached below.
More about the frequency table link is given below.
https://brainly.com/question/12576014
#SPJ1
60 more points i believe
f(x) does have an inverse function since it does pass the horizontal line test
Pleasepleaseplease help
Answer:
y = -15x + 50
Step-by-step explanation:
the pattern in the x side is +1 and the pattern on the y side is -15 so it is 15/1 which = m in y = mx + b
then you multiple -15 times whatever x and add 50 to get y like
y = -15 x 2 + 50 = 20
Given: AB = DC, AC = DB
Prove: AABC= ADCB
Look at the proof. Name the postulate you would use to prove the two triangles are congruent.
Given: AB DC, AC = DB
Prove: AABC= ADCB
AB= DC
Given
AC DB
Given
BC BC
Reflexive Property
of Congruence
AABC ADCB
?
B
D
C
Answer:
SSS Postulate
Step-by-step explanation:
AB=CD (Given)
AC=BD (Given)
BC=BC (Given)
So SSS Postulate
Side Side Side postulate
Both triangles are congruent by ''SSS Postulates.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
AB = DC, AC = DB
And, To prove that, ΔABC ≅ ΔDCB
Since, We have;
AB = DC,
AC = DB
And, BC = BC (common sides)
Hence, Both triangles are congruent by ''SSS Postulates.''
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ5
A plane flies 35 km in the direction n 30° w, then flies 60 km in the direction n 60° e. how far is the plane from its original location? 29.64 km 58.21 km 69.46 km 93.66 km
The distance of plane from the starting point is 69.46 km.
Given that the plane first flies 35 km in the direction N30W and then 60 km in the direction N60E.
We have to find the distance of plane from starting point.
We have to use pythagoras theorem in this which says that the square of hypotenuse is equal to sum of squares of the base and perpendicular.
[tex]H^{2} =P^{2} +B^{2}[/tex]
From the figure we can say that P=35 km .and B=60 km
In this we have to find the value of H when P=35 and B=60
[tex]H^{2} =35^{2} +60^{2}[/tex]
[tex]H^{2}[/tex]=1225+3600
[tex]H^{2}[/tex]=6946
H=69.46
Hence the distance of plane from starting point is 69.46 km.
Learn more about pythagoras theorem at https://brainly.com/question/343682
#SPJ4
The graph of a function f(x) passes through the following points:
(0,2), (1, 0), (-1,-4)
Which of the following could be f(x)?
O f(x) = 2x - 2
O f(x) = 2x² - 2
○ f(x) = - 2x - 2
○ f(x) = 2√x-2
The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)
Let
f(x) = ax² + bx + c
Plug x = 0, and y = 2
c = 2 ...(1)
Plug x = 1 and y = 0
a + b + c = 0 ..(2)
Plug x = -1 and y = 0
a - b + c = 0 ...(3)
After solving (1), (2), and (3)
a = -2
b = 0
c = 2
f(x) = -2x² + 2
Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
whats 2 1/2 divided by 5/2?
Answer:
the answer to this question is 1.
Answer:
2 1/2 divided by 5/2 = 1
Step-by-step explanation:
19. Which of the following expressions can be used to calculate the area of a square with side length 5 inches?
O 5.5
05.4
O 5+5
O5+4
Answer:
5 × 5
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length ) , then
A = 5² = 5 × 5 = 25 in²
Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Eric. Eric sent 9 more messages than Heather. How many messages did they each send?
Answer:
Step-by-step explanation:
Declaration
Let Heather's number of messages = x
Let Eric's number of messages = x + 9
Let Chang's number of messages = 3(x +9)
Equation
x + x + 9 + 3(x + 9) = 116
Solution
x + x + 9 + 3(x + 9) = 116 Remove the brackets
x + x + 9 + 3x + 27 = 116 Combine like terms
x + x + 3x + 9 + 27 = 116
5x + 36 = 116 Subtract 36 from both sides
5x + 36 - 36 = 116 - 36 Combine
5x = 80 Divide both sides by 5
5x/5 = 80/5
x = 16
Answer
Heather = 16
Eric = 16 + 9 = 25
Chang = 3*25 = 75
I don't understand how it gets the result [tex]28b_{2}[/tex] and [tex]b_{2}^{2}[/tex] in the fourth equation.
Answer + Step-by-step explanation:
your question is about equation 4 :
[tex]b_{1}=14-b_{2}[/tex]
Then
[tex]\left( b_{1}\right)^{2} =\left( 14-b_{2}\right)^{2} \ \text{(this is a special product )}[/tex]
Then
[tex]\left( b_{1}\right)^{2} =14^{2}-2\times 14 \times b_{2}+ (b_2)^2[/tex]
Then
[tex]\left( b_{1}\right)^{2} =196-28 b_{2}+ (b_2)^2[/tex]
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere.
A sphere with height h and radius r. A cylinder with height h and radius r.
Her work is shown below.
V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed.
What is Amie’s error?
Amie should have multiplied 54 by Two-thirds.
Amie should have multiplied 54 by Four-thirds pi.
Amie should have multiplied 54 by Four-thirds.
Amie should have multiplied 54 by Two-thirds pi.
The error in Amie's evaluation as described in the task content is; Amie should have multiplied 54 by Two-thirds.
What is Amie's error in the evaluation?Since it follows that the she needs the volume of the sphere in which case the radius of the sphere is half the height.
Hence we have;
V(sphere) = (4/3) πr² × h/2
V = (2/3) × πr²h
Where πr²h = Volume of the cylinder = 54cm
Hence, Amie should have multiplied 54 by Two-thirds.
Read more on volume of sphere;
https://brainly.com/question/22807400
#SPJ1
What are some of the questions that you should ask when evaluating rankings or other metrics that claim to demonstrate CSR
Some of the questions that should be asked when evaluating rankings or other metrics that claim to demonstrate CSR are: option A, B, and C.
What is CSR?CSR is acronym for corporate social responsibility and it can be defined as an organization's (company's) obligation to act in a manner that benefits and adds significant value to the society and the people, usually as it conduct its business operations.
Some of the questions that should be asked when evaluating rankings or other metrics that claim to demonstrate CSR include the following:
"What was the methodology used?""Who contributed to the study and how were they qualified to do so?""Do the findings seem to match what your common sense tells you?"Read more on CSR here: https://brainly.com/question/1373962
#SPJ1
Complete Question:
What are some of the questions that you should ask when evaluating rankings or other metrics that claim to demonstrate CSR? (check all that apply)
A. What was the methodology used?
B. Who contributed to the study and how were they qualified to do so?
C. Do the findings seem to match what your common sense tells you?
D. Was the list published in print or online?
A report of the National Center for Health Statistics says that the heights of 20-year-old men have mean 176.8 centimeters (cm) and standard deviation 7.2 cm. There are 2.54 centimeters in an inch. What are the mean and standard deviation in inches
The mean and standard deviation in inches are 69.6063 inches and 2.83465 inches respectively. Computed using unit conversions.
Unit conversion is the process of converting a magnitude of the same nature from one unit to another using fixed constants.
The constant between centimeters and inches are as follows:
1 inch = 2.54 cm,
or, 1 cm = 1/2.54 inches = 0.3937 inches.
In the question, we are informed that in a report of the National Center for Health Statistics, the heights of 20-year-old men have a mean of 176.8 (cm) and a standard deviation of 7.2 cm.
We are asked to find the mean and standard deviation in inches.
To calculate the mean in inches:-
We know that 1 cm = 1/2.54 inches.
Therefore, the mean of 176.8 cm = 176.8/2.54 inches = 69.6063 inches.
To calculate the standard deviation in inches:-
We know that 1 cm = 1/2.54 inches.
Therefore, the standard deviation of 7.2 cm = 7.2/2.54 inches = 2.83465 inches.
Thus, the mean and standard deviation in inches are 69.6063 inches and 2.83465 inches respectively. Computed using unit conversions.
Learn more about unit conversions at
https://brainly.com/question/16851332
#SPJ4
Which inequality represents Three times a number is greater than 15. a. 3x > 15 b. 3x = 15 c. 3x + 15 d.15 + 3x
Answer:
a.
Step-by-step explanation:
> is a symbol of inequality representing greater than
Which graph represents y= ^3 square root of x +2?
The graph of the function can be seen in the image at the end.
Which graph represents the function?I assume that the function we have here is:
[tex]y = x^3 + \sqrt{x + 2}[/tex]
This is a kinda cubic function. Notice that because we have a square root, then we have a restricted domain.
The argument of the square root can't be smaller than zero, then the minimum value of x is:
x + 2 = 0
x = -2
Then the domain is:
x ≥ -2
With that in mind, the graph of the function is the one below.
If you want to learn more about square roots:
https://brainly.com/question/9423572
#SPJ1
Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction
A fraction is a way to describe a part of a whole. The correct option is B.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The fraction that is equivalent to 2/6 is,
3/9, because 2/6 = 1/3, and 1/3= 3/9. Therefore, 2/6 = 3/9
Hence, the correct option is B.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ1
Solve the quadratic equation 8x²-5x-4=0
Give your answer to 3 significant figures
The solution of the quadratic equation 8x² – 5x – 4 = 0 will be 1.085 and negative 0.460.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The quadratic equation is given below.
8x² – 5x – 4 = 0
Then we have
a = 8, b = -5, c = -4
Then the solutions will be
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}\\\\\\\rm x = \dfrac{-(-5)\pm \sqrt{(-5)^2 - 4 * 8 * (-4)}}{2 * 8 }\\\\\\x = \dfrac{5 \pm 12.37}{16}\\\\\\x = \dfrac{5- 12.37}{16}, \dfrac{5 +12.37}{16}[/tex]
On further solving, we have
x = 1.085, -0.460
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
5x+1< 4x-4
Can you help solve for x in this equation
Answer:
X will be less than -5 :)
Step-by-step explanation:
We first need to put like terms together so lets do that now :)
5x + 1 < 4x - 4
5x < 4x - 5
x < -5
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
x < -5
Step-by-step explanation:
The goal of this problem is for the x to be in the form of x < or > {Number}.
So let's isolate x!
5x + 1 < 4x - 4
Let's remove the x and its factor from the right side by subtraction.
5x + 1 < 4x - 4
-4x -4x
______________
1x + 1 < -4
Now X is on one side, however, whenever a coefficient is 1, it can be excluded from the formula.
x + 1 < -4
So let's subtract 1 from the left, so x is isolated.
x + 1 < -4
-1 -1
_______
x < -5
There we go!
We can check the direction of the inequality sign by putting in a number that fulfills the inequality.
For example, if X has to be less than -5, we can use -6.
5(-6) + 1 < 4(-6) -4
-30 + 1 < -24 - 4
-29 < -28
This is true, so the problem is complete!
Gabrielle sees a 30% discount on potted plants at the nursery. She chooses 3 potted plants whose regular prices are $3.59, $4.25, and $3.99. What is the total she will pay after the discount? Round your answer to the nearest cent and do not include sales tax.
Using proportions, it is found that she will pay $8.28 in total after the discount.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Before tax, the total price is given by:
P = 3.59 + 4.25 + 3.99 = $11.83.
She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:
P = 0.7 x 11.83 = $8.28.
She will pay $8.28 in total after the discount.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Find Lm=
Help me please thanks
A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,
MN = r
Now, the length of arc MN can be written as,
2 × π × r × (60° /360°) = π
r = 360 / (60 × 2)
r = 3 cms
Further, the radius of the circle can be written as,
LO = ON = OM = MN = Radius = 3 cms
Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,
LM² + MN² = LN²
LM² + MN² = (LO + ON)²
LM² + r² = (r+r)²
LM² + r² = 4r²
LM² = 3r²
LM² = 3(3²)
LM = √27 cms
LM = 3√3 cms
Hence, the length of LM is 3√3 cms.
Learn more about Triangle:
https://brainly.com/question/2773823
#SPJ1
M angle IMJ= help me thank u :)
The value of the angle ∠IMJ using angles of Intersecting Chords Theorem is; 62.5°
How to find the angle of intersecting chords?From the given image, we see that;
mIJ = 40°
mLK = 85°
Now from angles of Intersecting Chords Theorem, we know that If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle. Thus;
∠IMJ = ¹/₂(mIJ + mLK)
∠IMJ = ¹/₂(40+ 85)
∠IMJ = 62.5°
Read more about Intersecting chords at; https://brainly.com/question/13950364
#SPJ1
Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length of T R is 36, the length of Q U is 40, and the length of U S is 45.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
Line segment TU is not parallel to line segment RS because StartFraction 32 Over 36 EndFraction not-equals StartFraction 40 Over 45 EndFraction.
Line segment TU is parallel to line segment RS because StartFraction 32 Over 45 EndFraction = StartFraction 40 Over 36 EndFraction.
Line segment TU is not parallel to line segment RS because StartFraction 32 Over 45 EndFraction not-equals StartFraction 40 Over 36 EndFraction.
The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
What is the line segment about?The law of the side- splitter connote that when f the line is parallel to a side of the triangle and if that said line do intersects the other 2 sides, tt is said to divides those given sides proportionally.
So the converse means that when the sides are proportional so therefore, the side TU is said to be parallel to the side RS.
Thus;
[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36} = \frac{8}{9}\\\\ \\[/tex]
[tex]\\\frac{QU}{US} =\frac{40}{45} = \frac{8}{9}\\[/tex]
Therefore, the ratios are equal and as such TU is parallel to RS
Hence, The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
Learn more about Line segment from
https://brainly.com/question/2437195
#SPJ1
Answer: OPTION A
Step-by-step explanation:
Explain how to use equivalent ratios to find
125% of 200.
Answer:
Step-by-step explanation So if you take that times 21 25 times two gives you X equals 250. So the answer is 2 50. And I use these equivalent fractions and then solve the proportion to come up with 2 50. Instead of doing a little aero trick you could have cross multiplied 200 times 1 25 and 100 times X.ion: